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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#769915#9553. The HermitNana7#AC ✓233ms20104kbC++141.4kb2024-11-21 19:52:552024-11-21 19:52:56

Judging History

你现在查看的是最新测评结果

  • [2024-11-21 19:52:56]
  • 评测
  • 测评结果:AC
  • 用时:233ms
  • 内存:20104kb
  • [2024-11-21 19:52:55]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<cstring>
#include<vector>
#define I inline
#define int long long
using namespace std;

const int mod = 998244353;
const int N = 100010;
const int LG = 19;
int mul[N],inv[N],f[LG][N];
int n,m,red,ans;


int qpow(int x,int y) {
	if(y==0) return 1;
	if(y==1) return x;
	int mk=qpow(x,y/2);
	return y%2?mk*mk%mod*x%mod:mk*mk%mod;
}
I int C(int x,int y) {
	if(x<y) return 0;
	return mul[x]*inv[y]%mod*inv[x-y]%mod;
}
I void deal(int x) {
	for(int i=1;i*x<=m;++i) {
		int nxt=i*x;
		for(int pre=0;pre<=18;++pre) {
			int nd=n-pre-2,hv1=m/nxt-1,hv2=m/x-(nxt/x);
			if(hv2<nd||nd<0||nd>m-x) continue;
			
			red+=f[pre][x]*(C(hv2,nd)-C(hv1,nd)+mod)%mod*(pre+1)%mod;
			red%=mod;
		}
		
	}
	if(n<=18) {
			red+=f[n-1][x]*n%mod;
			red%=mod;
		}
	//cout<<red<<endl;
} 
signed main()
{
	{
		mul[0]=inv[0]=1;
		for(int i=1;i<=100000;++i) mul[i]=mul[i-1]*i%mod;
		inv[100000]=qpow(mul[100000],mod-2);
		for(int i=99999;i>=1;--i) inv[i]=inv[i+1]*(i+1)%mod;
	}
//	cout<<C(100000,99999)<<endl;
	for(int i=1;i<=100000;++i) {
		f[0][i]=1;
		for(int j=1;j<=18;++j) {
			for(int k=2;k*i<=100000;++k) {
				f[j][k*i]+=f[j-1][i];
				f[j][k*i]%=mod;
			}
		} 
	} 
	cin>>m>>n;
//	if(n==1) {
//		cout<<0<<endl;
//		return 0;
//	}
	for(int i=1;i<=m;++i) {
		deal(i);
	}
	cout<<(C(m,n)*n%mod-red+mod)%mod<<endl;
} 

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 97ms
memory: 20040kb

input:

4 3

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 74ms
memory: 20100kb

input:

11 4

output:

1187

result:

ok 1 number(s): "1187"

Test #3:

score: 0
Accepted
time: 79ms
memory: 19916kb

input:

100000 99999

output:

17356471

result:

ok 1 number(s): "17356471"

Test #4:

score: 0
Accepted
time: 70ms
memory: 19920kb

input:

11451 1919

output:

845616153

result:

ok 1 number(s): "845616153"

Test #5:

score: 0
Accepted
time: 127ms
memory: 20052kb

input:

99998 12345

output:

936396560

result:

ok 1 number(s): "936396560"

Test #6:

score: 0
Accepted
time: 103ms
memory: 20040kb

input:

100000 1

output:

0

result:

ok 1 number(s): "0"

Test #7:

score: 0
Accepted
time: 233ms
memory: 20036kb

input:

100000 15

output:

190067060

result:

ok 1 number(s): "190067060"

Test #8:

score: 0
Accepted
time: 131ms
memory: 19980kb

input:

10 3

output:

299

result:

ok 1 number(s): "299"

Test #9:

score: 0
Accepted
time: 98ms
memory: 20048kb

input:

10 4

output:

743

result:

ok 1 number(s): "743"

Test #10:

score: 0
Accepted
time: 75ms
memory: 20092kb

input:

10 5

output:

1129

result:

ok 1 number(s): "1129"

Test #11:

score: 0
Accepted
time: 63ms
memory: 19968kb

input:

15 6

output:

28006

result:

ok 1 number(s): "28006"

Test #12:

score: 0
Accepted
time: 114ms
memory: 20040kb

input:

15 7

output:

42035

result:

ok 1 number(s): "42035"

Test #13:

score: 0
Accepted
time: 172ms
memory: 19964kb

input:

123 45

output:

214851327

result:

ok 1 number(s): "214851327"

Test #14:

score: 0
Accepted
time: 219ms
memory: 20100kb

input:

998 244

output:

964050559

result:

ok 1 number(s): "964050559"

Test #15:

score: 0
Accepted
time: 218ms
memory: 20104kb

input:

1919 810

output:

379720338

result:

ok 1 number(s): "379720338"

Test #16:

score: 0
Accepted
time: 184ms
memory: 20040kb

input:

1048 576

output:

216543264

result:

ok 1 number(s): "216543264"

Test #17:

score: 0
Accepted
time: 154ms
memory: 20036kb

input:

999 777

output:

635548531

result:

ok 1 number(s): "635548531"

Test #18:

score: 0
Accepted
time: 203ms
memory: 19968kb

input:

99999 77777

output:

448144614

result:

ok 1 number(s): "448144614"

Test #19:

score: 0
Accepted
time: 176ms
memory: 19960kb

input:

34527 6545

output:

748108997

result:

ok 1 number(s): "748108997"

Test #20:

score: 0
Accepted
time: 86ms
memory: 19960kb

input:

12345 12

output:

777496209

result:

ok 1 number(s): "777496209"

Test #21:

score: 0
Accepted
time: 83ms
memory: 20012kb

input:

1 1

output:

0

result:

ok 1 number(s): "0"

Test #22:

score: 0
Accepted
time: 129ms
memory: 19972kb

input:

100000 10101

output:

855985819

result:

ok 1 number(s): "855985819"

Test #23:

score: 0
Accepted
time: 96ms
memory: 20044kb

input:

100000 91919

output:

92446940

result:

ok 1 number(s): "92446940"

Test #24:

score: 0
Accepted
time: 99ms
memory: 20100kb

input:

100000 77979

output:

106899398

result:

ok 1 number(s): "106899398"

Test #25:

score: 0
Accepted
time: 98ms
memory: 20096kb

input:

10000 11

output:

326411649

result:

ok 1 number(s): "326411649"

Test #26:

score: 0
Accepted
time: 133ms
memory: 20064kb

input:

100000 2

output:

15322970

result:

ok 1 number(s): "15322970"

Test #27:

score: 0
Accepted
time: 94ms
memory: 20052kb

input:

100000 3

output:

93355797

result:

ok 1 number(s): "93355797"

Test #28:

score: 0
Accepted
time: 85ms
memory: 20052kb

input:

100000 99998

output:

331850772

result:

ok 1 number(s): "331850772"

Test #29:

score: 0
Accepted
time: 83ms
memory: 20040kb

input:

100000 99996

output:

885066226

result:

ok 1 number(s): "885066226"

Test #30:

score: 0
Accepted
time: 63ms
memory: 20036kb

input:

13115 2964

output:

0

result:

ok 1 number(s): "0"

Test #31:

score: 0
Accepted
time: 186ms
memory: 20096kb

input:

100000 17

output:

425792977

result:

ok 1 number(s): "425792977"

Test #32:

score: 0
Accepted
time: 226ms
memory: 19956kb

input:

99991 16

output:

667323936

result:

ok 1 number(s): "667323936"

Test #33:

score: 0
Accepted
time: 192ms
memory: 19920kb

input:

99991 17

output:

627396741

result:

ok 1 number(s): "627396741"

Test #34:

score: 0
Accepted
time: 207ms
memory: 19916kb

input:

99991 18

output:

874158501

result:

ok 1 number(s): "874158501"

Test #35:

score: 0
Accepted
time: 84ms
memory: 20104kb

input:

100000 100000

output:

99999

result:

ok 1 number(s): "99999"

Test #36:

score: 0
Accepted
time: 140ms
memory: 20036kb

input:

94229 94229

output:

94228

result:

ok 1 number(s): "94228"

Test #37:

score: 0
Accepted
time: 189ms
memory: 19996kb

input:

94229 94223

output:

476599876

result:

ok 1 number(s): "476599876"

Test #38:

score: 0
Accepted
time: 67ms
memory: 20044kb

input:

2 1

output:

0

result:

ok 1 number(s): "0"

Test #39:

score: 0
Accepted
time: 69ms
memory: 20056kb

input:

2 2

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 66ms
memory: 19968kb

input:

3 1

output:

0

result:

ok 1 number(s): "0"

Test #41:

score: 0
Accepted
time: 65ms
memory: 20036kb

input:

3 2

output:

2

result:

ok 1 number(s): "2"

Test #42:

score: 0
Accepted
time: 87ms
memory: 20104kb

input:

3 3

output:

2

result:

ok 1 number(s): "2"

Test #43:

score: 0
Accepted
time: 89ms
memory: 20100kb

input:

9 2

output:

44

result:

ok 1 number(s): "44"

Test #44:

score: 0
Accepted
time: 123ms
memory: 19956kb

input:

9 3

output:

206

result:

ok 1 number(s): "206"

Test #45:

score: 0
Accepted
time: 80ms
memory: 19924kb

input:

9 4

output:

441

result:

ok 1 number(s): "441"

Test #46:

score: 0
Accepted
time: 119ms
memory: 19976kb

input:

9 7

output:

224

result:

ok 1 number(s): "224"

Test #47:

score: 0
Accepted
time: 112ms
memory: 20104kb

input:

70839 22229

output:

0

result:

ok 1 number(s): "0"

Test #48:

score: 0
Accepted
time: 140ms
memory: 19976kb

input:

65536 17

output:

698801006

result:

ok 1 number(s): "698801006"

Test #49:

score: 0
Accepted
time: 183ms
memory: 19960kb

input:

65535 17

output:

433312902

result:

ok 1 number(s): "433312902"

Test #50:

score: 0
Accepted
time: 215ms
memory: 19968kb

input:

99856 317

output:

932131332

result:

ok 1 number(s): "932131332"

Test #51:

score: 0
Accepted
time: 208ms
memory: 19964kb

input:

99856 318

output:

398997854

result:

ok 1 number(s): "398997854"

Test #52:

score: 0
Accepted
time: 185ms
memory: 20032kb

input:

99856 2

output:

984791559

result:

ok 1 number(s): "984791559"

Test #53:

score: 0
Accepted
time: 202ms
memory: 20048kb

input:

100000 50000

output:

309108799

result:

ok 1 number(s): "309108799"

Extra Test:

score: 0
Extra Test Passed